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642447650240 = 26511941193957
BaseRepresentation
bin10010101100101001101…
…11010010110111000000
32021102021021121002220022
421112110313102313000
541011213044301430
61211045242433012
764262310632234
oct11262467226700
92242237532808
10642447650240
11228507a4a480
12a4616502768
1348775b40406
14231479565c4
1511aa168e4e5
hex9594dd2dc0

642447650240 has 112 divisors (see below), whose sum is σ = 1670685938784. Its totient is φ = 233367859200.

The previous prime is 642447650231. The next prime is 642447650249. The reversal of 642447650240 is 42056744246.

It is an interprime number because it is at equal distance from previous prime (642447650231) and next prime (642447650249).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 642447650191 and 642447650200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642447650249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3215342 + ... + 3409298.

Almost surely, 2642447650240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642447650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835342969392).

642447650240 is an abundant number, since it is smaller than the sum of its proper divisors (1028238288544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642447650240 is a wasteful number, since it uses less digits than its factorization.

642447650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194926 (or 194916 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 44.

The spelling of 642447650240 in words is "six hundred forty-two billion, four hundred forty-seven million, six hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 941 1760 1882 3520 3764 4705 7528 9410 10351 15056 18820 20702 30112 37640 41404 51755 60224 75280 82808 103510 150560 165616 193957 207020 301120 331232 387914 414040 662464 775828 828080 969785 1551656 1656160 1939570 2133527 3103312 3312320 3879140 4267054 6206624 7758280 8534108 10667635 12413248 15516560 17068216 21335270 31033120 34136432 42670540 62066240 68272864 85341080 136545728 170682160 182513537 341364320 365027074 682728640 730054148 912567685 1460108296 1825135370 2007648907 2920216592 3650270740 4015297814 5840433184 7300541480 8030595628 10038244535 11680866368 14601082960 16061191256 20076489070 29202165920 32122382512 40152978140 58404331840 64244765024 80305956280 128489530048 160611912560 321223825120 642447650240